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The soil temperature in the upper layers of the earth varies with variations in the atmospheric conditions. Before a cold front moves in, the earth

The soil temperature in the upper layers of the earth varies with variations in the atmospheric conditions. Before a cold front moves in, the earth at a location is initially at a uniform temperature of 10oC. Then the area is subjected to a temperature of 10oC and high winds that resulted in a convection heat transfer coefficient of 40 W/m2 .K on the earths surface for a period of 10 h. Taking the properties of the soil at that location to be k = 0.9 W/m.K and = 1.6105 m2 /s, determine the soil temperature at distances 0, 20 and 50 cm from the earths surface at the end of this 10 h period. Taking the properties of the soil at that location to be k = 0.9 W/m.K and = 1.6105 m2 /s, determine the soil temperature at distances 0, 20 and 50 cm from the earths surface at the end of this 10 h period.

FIND THE SOIL TEMPERATURES AT GIVEN DISTANCES : 0 , 20 CM AND 50 CM

ANSWER : 10OC; 7OC; 2.8OC RESPECTIVELY.

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